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Finding the Third Proportional to 59,830 and 92,904

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Solution

The third proportional to 59,830 and 92,904 is: 144,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,830 : 92,904 = 92,904 : x
  2. Step 2: Convert to fraction form
    59,830/92,904 = 92,904/x
  3. Step 3: Cross multiply
    59,830x = 92,904 × 92,904
  4. Step 4: Simplify right side
    59,830x = 8,631,153,216
  5. Step 5: Solve for x
    x = 8,631,153,216/59,830
  6. Step 6: Final answer
    x = 144,261.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.